UnitLevel 2Undergraduate

MTH2132 The nature and beauty of mathematics

Faculty of Science

MTH2132 The nature and beauty of mathematics is a level 2, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2022 in Semester 1 at Clayton. It has no prerequisites.

Credit points
6
Offered in 2022
Semester 1
Clayton
Assessment
Exam 50%
and 1 other task

This is the 2022 handbook entry. See the 2027 entry.

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Requisites

Before MTH2132

No prerequisites or corequisites besides the enrolment rules below.

After MTH2132

No unit lists MTH2132 as a prerequisite in the 2022 handbook.

Enrolment rules

PREREQUISITE: You must be enrolled in the Bachelor of Applied Data Science or have 24 credit points of university studies.

Overview

This unit is intended for students with little or no mathematical background. Through the discussion of historical, practical and conceptual questions, it will emphasise the beauty and the power of mathematics. The number of topics covered will be very broad. These will include, amongst many others:

  • Symmetry (regular solids, tilings, Escher, ruler-and-compass, origami)
  • Fibonacci numbers and Golden Ratio
  • Optimal design (soap bubble maths, minimal networks)
  • Mathematical soul capturing (the maths of juggling and lacing shoes)
  • Visualising the 4th dimension
  • The shape of space (Mobius bands, Klein bottles, "pacman" spaces)
  • Infinity.

Offerings in 2022

Teaching periodCampusMode
First semesterClaytonOn campus

Assessment

  • Continuous assessmentOtherThreshold hurdle
    50%
  • Examination (2 hours and 10 minutes)ExamThreshold hurdle
    50%

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Appreciate the beauty and power of mathematics;

  2. 2

    Understand the fundamental concepts of number theory and geometry;

  3. 3

    Understand the notion of proof in mathematics and carry out basic proofs;

  4. 4

    Appreciate the historical interplay between mathematics and attempts to understand the physical world;

  5. 5

    State some of the great unsolved problems in modern mathematics.

Workload and teaching

  • Lectures36 hours
  • Three 1-hour lectures  and
  • 9 hours of independent study per week

Where it fits

MTH2132 is part of 6 areas of study in the 2022 handbook.

Contacts

Chief Examiners
Associate Professor Burkard Polster
Unit Coordinators
Associate Professor Burkard Polster

Common questions

What are the prerequisites for MTH2132?

MTH2132 has no prerequisites, but enrolment rules apply.

When is MTH2132 offered?

In 2022, MTH2132 runs in Semester 1 at Clayton.

Does MTH2132 have an exam?

Yes. The exam is worth 50% of the final mark, alongside 1 other task.

Which majors and minors include MTH2132?

MTH2132 is part of Applied mathematics, Mathematics and Pure mathematics.

More details

Credit points
6
Level
2
Study level
Undergraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Available